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Finding the Fourth Proportional to 603.04, 902.83 and 564.76

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Solution

The fourth proportional to 603.04, 902.83 and 564.76 is: 845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.04 : 902.83 = 564.76 : x
  2. Step 2: Convert to fraction form
    603.04/902.83 = 564.76/x
  3. Step 3: Cross multiply
    603.04x = 902.83 × 564.76
  4. Step 4: Simplify right side
    603.04x = 509,879.45
  5. Step 5: Solve for x
    x = 509,879.45/603.04
  6. Step 6: Final answer
    x = 845.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.